Production geometry analysis, modeling, and rapid prototyping production of manufacturing tool of spiroid face gear

Abstract

The geometric analysis of a face-gear hob is introduced in this article. We examined the logarithmic spiral and the Archimedean spiral backward-turned curves in profile distortion aspect. The cutting edge of the hob defines the face-gear dentation, which is why the equations of the cutting edge have to be known for manufacturing. We worked out the mathematical analysis of the backward-turned curves, the cutting edge, the face surface, and the relief side surface of the hob in general case. Based on these, we designed a conical hob, working out its three-dimensional virtual CAD model. Using rapid prototyping technique, we produced the real physical model of this hob, and the hob was actually manufactured. We carried out three-coordination measuring analysis of the rapid prototyping model and the actually manufactured model. We analyzed the measured results and presented the evaluation of our results.